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Simplifying -6(14 + 14n) + -6 = -2(13 + -12n) (14 * -6 + 14n * -6) + -6 = -2(13 + -12n) (-84 + -84n) + -6 = -2(13 + -12n) Reorder the terms: -84 + -6 + -84n = -2(13 + -12n) Combine like terms: -84 + -6 = -90 -90 + -84n = -2(13 + -12n) -90 + -84n = (13 * -2 + -12n * -2) -90 + -84n = (-26 + 24n) Solving -90 + -84n = -26 + 24n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-24n' to each side of the equation. -90 + -84n + -24n = -26 + 24n + -24n Combine like terms: -84n + -24n = -108n -90 + -108n = -26 + 24n + -24n Combine like terms: 24n + -24n = 0 -90 + -108n = -26 + 0 -90 + -108n = -26 Add '90' to each side of the equation. -90 + 90 + -108n = -26 + 90 Combine like terms: -90 + 90 = 0 0 + -108n = -26 + 90 -108n = -26 + 90 Combine like terms: -26 + 90 = 64 -108n = 64 Divide each side by '-108'. n = -0.5925925926 Simplifying n = -0.5925925926
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